An algebraic approach to the structural properties of positive state control systems. (10th February 2017)

• Record Type: Journal Article
• Authors: Ricarte, Beatriz; Romero‐Vivó, Sergio
• Other Names: Vigo‐Aguiar Jesus guestEditor.; Garcia Rubio Raquel guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 6(2018)
• Page Start: 2370
• Page End: 2378
• Publication Date: 2017-02-10
• Subjects: positive state systems -- controllability -- reachability -- single‐input systems -- subclass 93B03 -- 93B05; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4351
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we deal with discrete‐time linear control systems in which the state is constrained to lie in the positive orthant R + n independently of the inputs involved, that is, the inputs can take negative values. Such (positive state) systems appear, for example, in ecology models where the removal of individuals from a population is described. Controllability and reachability are fundamental properties of a system that show its ability to move in space, which are analyzed from an algebraic point of view throughout the text, paying special attention to the single‐input case. Copyright © 2017 John Wiley & Sons, Ltd.